A plane meets the co-ordinate axes at the points A, B, C respectively in such a way that the centroid of \\DeltaA B C is (1, r, r^{2}) for some real r. If the plane passes through the point (5,5,-12) then r=

WBJEE 2021 Math Solved Paper

CATEGORY - III (Q66 to Q75)

Carry 2 marks each and one or more option(s) is/are correct. If all correct answers are not marked and no incorrect answer is marked then score = 2 × number of correct answers marked  actual number of correct answers. If any wrong option is marked or if any combination including a wrong option is marked, the answer will considered wrong, but there is no negative marking for the same and zero marks will be awarded.

Question : 66 of 75

Marks: +1, -0

A plane meets the co-ordinate axes at the points A, B, C respectively in such a way that the centroid of ΔABC is (1,r,r2) for some real r. If the plane passes through the point (5,5,−12) then r=

3
2
4
−4
−
3
2

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